Risk-averse multi-objective generation dispatch considering transient stability under load model uncertainty

Maintaining transient stability is one essential requirement for power system reliable operations. However, there is usually a conflict between the stability level and the economic objective. This study presents a new generation dispatch model to balance the two concerns. A risk-based criterion is proposed to quantify system transient stability on a probabilistic basis, and a multi-objective programming model is proposed to achieve best trade-off between transient stability requirement and economic operation. In the meantime, the load dynamics have a substantial impact on the transient stability but has not well accounted in the generation dispatch stage. In this study, the dynamic load models and their uncertain variation are taken into account through a strategically selected set of load composition scenarios to approximate the whole uncertainty space. A multi-objective evolutionary algorithm-based hybrid solution process is then developed. The proposed method is verified on the New England 10-machine 39-bus system. Numeric results show that the model can effectively obtain Pareto solutions which are free from instability risk and robust to stochastic load composition variations.

[1]  A.J. Conejo,et al.  Securing Transient Stability Using Time-Domain Simulations Within an Optimal Power Flow , 2010, IEEE Transactions on Power Systems.

[2]  J. McCalley,et al.  Risk-Based Security and Economy Tradeoff Analysis for Real-Time Operation , 2007, IEEE Transactions on Power Systems.

[3]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[4]  K.P. Wong,et al.  Application of Differential Evolution Algorithm for Transient Stability Constrained Optimal Power Flow , 2008, IEEE Transactions on Power Systems.

[5]  P. Kundur,et al.  Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions , 2004, IEEE Transactions on Power Systems.

[6]  Han Yu,et al.  Robust Transmission Network Expansion Planning Method With Taguchi's Orthogonal Array Testing , 2011, IEEE Transactions on Power Systems.

[7]  C. R. Fuerte-Esquivel,et al.  A New Practical Approach to Transient Stability-Constrained Optimal Power Flow , 2011, IEEE Transactions on Power Systems.

[8]  Innocent Kamwa,et al.  Fast approach for transient stability constrained optimal power flow based on dynamic reduction method , 2014 .

[9]  I.A. Hiskens,et al.  Sensitivity, Approximation, and Uncertainty in Power System Dynamic Simulation , 2006, IEEE Transactions on Power Systems.

[10]  C. W. Taylor,et al.  Model validation for the August 10, 1996 WSCC system outage , 1999 .

[11]  Tony B. Nguyen,et al.  Dynamic security-constrained rescheduling of power systems using trajectory sensitivities , 2003 .

[12]  Han Yu,et al.  An Optimal Power Flow Algorithm to Achieve Robust Operation Considering Load and Renewable Generation Uncertainties , 2012, IEEE Transactions on Power Systems.

[13]  Ruisheng Diao,et al.  Decision Tree-Based Preventive and Corrective Control Applications for Dynamic Security Enhancement in Power Systems , 2010, IEEE Transactions on Power Systems.

[14]  Deqiang Gan,et al.  Stability-constrained optimal power flow , 2000 .

[15]  Carlos A. Coello Coello,et al.  Evolutionary multi-objective optimization: a historical view of the field , 2006, IEEE Comput. Intell. Mag..

[16]  Manoj Kumar Tiwari,et al.  Multiobjective Particle Swarm Algorithm With Fuzzy Clustering for Electrical Power Dispatch , 2008, IEEE Transactions on Evolutionary Computation.

[17]  Kwok-Leung Tsui,et al.  AN OVERVIEW OF TAGUCHI METHOD AND NEWLY DEVELOPED STATISTICAL METHODS FOR ROBUST DESIGN , 1992 .

[18]  Jovica V. Milanovic,et al.  International Industry Practice on Power System Load Modeling , 2013, IEEE Transactions on Power Systems.

[19]  Kit Po Wong,et al.  Preventive Dynamic Security Control of Power Systems Based on Pattern Discovery Technique , 2012, IEEE Transactions on Power Systems.

[20]  Ka Wing Chan,et al.  Transient stability constrained optimal power flow using particle swarm optimisation , 2007 .

[21]  Ke Meng,et al.  Speed-up the computing efficiency of power system simulator for engineering-based power system transient stability simulations , 2010 .

[22]  D.J. Hill,et al.  Composite load modeling via measurement approach , 2006, IEEE Transactions on Power Systems.

[23]  Mania Ribbens-Pavella,et al.  A simple direct method for fast transient stability assessment of large power systems , 1988 .

[24]  D. Ruiz-Vega,et al.  Global Transient Stability-Constrained Optimal Power Flow Using an OMIB Reference Trajectory , 2010, IEEE Transactions on Power Systems.

[25]  Luonan Chen,et al.  Optimal operation solutions of power systems with transient stability constraints , 2001 .

[26]  Q. Jiang,et al.  An Enhanced Numerical Discretization Method for Transient Stability Constrained Optimal Power Flow , 2010, IEEE Transactions on Power Systems.

[27]  Kit Po Wong,et al.  A Hybrid Method for Transient Stability-Constrained Optimal Power Flow Computation , 2012, IEEE Transactions on Power Systems.

[28]  Rui Zhang,et al.  Parallel-differential evolution approach for optimal event-driven load shedding against voltage collapse in power systems , 2014 .

[29]  R D Zimmerman,et al.  MATPOWER: Steady-State Operations, Planning, and Analysis Tools for Power Systems Research and Education , 2011, IEEE Transactions on Power Systems.

[30]  Mania Pavella,et al.  A comprehensive approach to transient stability control. I. Near optimal preventive control , 2003 .

[31]  Hiroshi Sasaki,et al.  A solution of optimal power flow with multicontingency transient stability constraints , 2003 .